Question 101
A palindromic number is a number whose digits stand symmetrically with respect to the center of the number's decimal notation, for instance, $7$, $1221$ and $57575$ are palindromic, while $1212$ and $3330$ are not. Prove that for any number of pairwise distinct palindromic numbers the sum of their reciprocals is not greater than $11$.
(Arsenii Nikolaiev)
(Arsenii Nikolaiev)